Home / 11,747.20-16,202.64-9,976

Finding the Fourth Proportional to 11,747.20, 16,202.64 and 9,976

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Solution

The fourth proportional to 11,747.20, 16,202.64 and 9,976 is: 13,759.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747.20 : 16,202.64 = 9,976 : x
  2. Step 2: Convert to fraction form
    11,747.20/16,202.64 = 9,976/x
  3. Step 3: Cross multiply
    11,747.20x = 16,202.64 × 9,976
  4. Step 4: Simplify right side
    11,747.20x = 161,637,536.64
  5. Step 5: Solve for x
    x = 161,637,536.64/11,747.20
  6. Step 6: Final answer
    x = 13,759.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.